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A Tourist Can Tour Utmost Four Places Out of A, B, C, D, E, F and G. Out of Four, Not More than Two Can Come Under Holiday Tour and at Least Two Must Come Under Business Trip.

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Question

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A tourist can tour utmost four places out of A, B, C, D, E, F and G. Out of four, not more than two can come under holiday tour and at least two must come under business trip. The break up is as follows:

Under the same fact situation as above, suppose that the following restrictions hold good:

A) A can be included provided C is included.

B) E is included provided B or G is included but not both.

C) C can be included provided at least D or F is excluded. Which one of the following is a certainty?

Options

  • A, B, C, & E

  • A, C, D & F

  • B, C, D & E

  • A, B, C & F

MCQ
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Solution

A, B, C, & E

Explanation:

'A, C, D & F' and 'A, B, C & F' are straightaway discounted. 
'A, B, C & F' includes C, D and F and violates restriction C.
'A, B, C & F' include B but does not include E. Therefore, it violates restriction B.
'B, C, D & E' is not a certainty but a  possibility because in 'B, C, D & E' while C is included. A  is not included. This does not fulfill restriction A at all. 
'A, B, C, & E' meets all the restrictions and is therefore a  certainty. 

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